Double-Population Link-Wise Artificial Compressibility Method for Simulating Two-Dimensional Magnetoconvection
| Autor: | Souheil Elalimi, Sassi Ben Nasrallah, Mohamed Hamdi |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Physics
education.field_of_study Article Subject lcsh:Mathematics General Mathematics Population Prandtl number General Engineering Rayleigh number Mechanics lcsh:QA1-939 Hartmann number 01 natural sciences Nusselt number 010305 fluids & plasmas symbols.namesake lcsh:TA1-2040 Combined forced and natural convection 0103 physical sciences Heat transfer symbols Duct (flow) lcsh:Engineering (General). Civil engineering (General) 010306 general physics education |
| Zdroj: | Mathematical Problems in Engineering, Vol 2019 (2019) |
| ISSN: | 1563-5147 1024-123X |
| DOI: | 10.1155/2019/7834731 |
| Popis: | The recently developed Link-Wise Artificial Compressibility Method (LW-ACM) with double population is presented, validated, and then applied to magnetoconvective flow. The validation step evolves in two stages. First of all, we used the problem of mixed convection over a vertical duct preceded by a sudden expansion in order to validate the multiple relaxation times (MRT) code. Then, we explore the accuracy and the performance of the LW-ACM versus the MRT model and the classic Bhatnagar-Gross-Krook (BGK) model by using a differentially heated cavity problem for Prandtl number Pr=0.71. The numerical results for values of Nusselt numbers and process time clearly showed the accuracy and the efficiency of LW-ACM. The adequate accuracy of the proposed model encouraged us to apply it to a magnetoconvection problem. Dynamic and thermal fields are presented and analyzed at Pr=0.054 and Rayleigh number Ra=5×104 for Hartmann number Ha up to 60. Results revealed that the effects of magnetic fields on dynamic and thermal fields are important and that the heat transfer in the cavity is a decreasing function of magnetic field strength. |
| Databáze: | OpenAIRE |
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